Maximum Number of Jumps to Reach the Last Index | Simple Intuition | Leetcode 2770 | MIK

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This is the 142nd Video of our Playlist "Dynamic Programming : Popular Interview Problems" by codestorywithMIK

Today we will be solving a simple problem based on 1D-DP - Maximum Number of Jumps to Reach the Last Index | Simple Intuition | Leetcode 2770 | codestorywithMIK

I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.

Problem Name : Maximum Number of Jumps to Reach the Last Index | Simple Intuition | Leetcode 2770 | codestorywithMIK
Company Tags : Will update later
My solutions on Github(C++ & JAVA) : https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/DP/1-D%20DP/Maximum%20Number%20of%20Jumps%20to%20Reach%20the%20Last%20Index.cpp
Leetcode Link : https://leetcode.com/problems/maximum-number-of-jumps-to-reach-the-last-index/description/
My DP Concepts Playlist : https://youtu.be/7eLMOE1jnls
My Graph Concepts Playlist : https://youtu.be/5JGiZnr6B5w
My Segment Tree Concepts Playlist : https://www.youtube.com/watch?v=k99r1A7krcY&list=PLpIkg8OmuX-K1qUIQToCllUO0UIKXt8dB
My Recursion Concepts Playlist : https://www.youtube.com/watch?v=pfb1Zduesi8&list=PLpIkg8OmuX-IBcXsfITH5ql0Lqci1MYPM
Trie Playlist - https://www.youtube.com/watch?v=DMP2bqW6URA&list=PLpIkg8OmuX-I99uuP2BZOz4mI_lms4gVG
Difference Array Technique: Concepts & Qns : https://www.youtube.com/watch?v=ZHNVmtm08WY&list=PLpIkg8OmuX-Kqkb8DqDe_4-Tiav6ilS_L
My GitHub Repo for interview preparation : https://github.com/MAZHARMIK/Interview_DS_Algo
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Video Summary :
Approach-1 (Recursion + Memo)
From every index, we try all possible jumps that satisfy the given condition and recursively find the maximum jumps possible from there. Since many states get recomputed repeatedly, memoization stores already computed answers to avoid redundant work. The idea is to explore all valid paths and keep the best one.

Approach-2 (Bottom Up DP)
Instead of recursion, we build the answer iteratively from right to left. For each index, we check all reachable next indices and use their already computed results to calculate the current answer. This avoids recursion overhead while following the same transition logic as memoization.
✨ Timelines✨
00:00 Introduction
00:07 Motivation
00:31 Problem Explanation
02:54 Thought Process
05:24 Applying Recursion
08:11 Coding Recursion Memo
11:18 Mapping to Bottom Up
16:25 Coding Bottom Up

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